Answer:
A
Step-by-step explanation:
You want to know the matrix addition representation of the translation (x, y) ⇒ (x-2, y+4) for the vertex coordinates of the parallelogram in the figure.
Transformation
Translating a point 2 units left subtracts 2 from its x-coordinate.
Translating a point 4 units up adds 4 to its y-coordinate.
Matrix representation
The coordinates of the figure are represented by a matrix with x-coordinates on the first row and y-coordinates on the second row.
The transformation will add -2 to all first-row (x) values, and +4 to all second-row (y) values. The matrix addition looks like ...
[tex]\boxed{\left[\begin{array}{cccc}0&0&2&2\\-1&-3&0&-2\end{array}\right] + \left[\begin{array}{cccc}-2&-2&-2&-2\\4&4&4&4\end{array}\right]}[/tex]
